Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models

Kant, Tarun; Babu, C. Sarath

doi:10.1016/s0263-8223(99)00127-0

Cited by 112 publications

(39 citation statements)

References 12 publications

(10 reference statements)

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“…It is found that the results obtained using the present FE model are quite close to Kant et al (2000) and Vosoughi et al (2011), respectively. Kant et al (2000) and Vosoughi et al (2011), respectively. …”

Section: Clamped Isotropic Skew Platessupporting

confidence: 65%

“…In the case of skew laminated composite and sandwich plates subjected to thermal loads, there are few studies (Prabhu and Durvasula, 1974a;1974b;1976) available on thermal buckling of isotropic skew plates. Kant and Babu (2000) employed higher order shear deformation theory based on finite element models for the thermal buckling analysis of skew laminated composite and sandwich plates subjected to thermal loading. Prakash et al (2008) investigated thermal postbuckling behavior of functionally graded material of skew plates.…”

Section: Introductionmentioning

confidence: 99%

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Static, Vibration and Buckling Analysis of Skew Composite and Sandwich Plates Under Thermo Mechanical Loading

Singh¹,

Chakrabarti²

2013

International Journal of Applied Mechanics and Engineering

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Static, vibration and buckling behavior of laminated composite and sandwich skew plates is studied using an efficient C 0 FE model developed based on refined higher order zigzag theory. The C 0 FE model satisfies the interlaminar shear stress continuity at the interfaces and zero transverse shear stress conditions at plate top and bottom. In this model, the first derivatives of transverse displacement have been treated as independent variables to overcome the problem of C 1 continuity associated with the plate theory. The C 0 continuity of the present element is compensated in the stiffness matrix formulation by adding a suitable term. In order to avoid stress oscillations observed in the displacement based finite element, the stress field derived from temperature is made consistent with the total strain field by using field consistent approach. Numerical results are presented for different static, vibration and buckling problems by applying the FE model under thermo mechanical loading, where a nine noded C 0 continuous isoparametric element is used. It is observed that there are very few results available in the literature on laminated composite and sandwich skew plates based on refined theories. As such many new results are also generated for future reference.

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Section: Clamped Isotropic Skew Platessupporting

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Static, Vibration and Buckling Analysis of Skew Composite and Sandwich Plates Under Thermo Mechanical Loading

Singh¹,

Chakrabarti²

2013

International Journal of Applied Mechanics and Engineering

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“…Although various models of higher-order displacement fields have been considered, most of these theories are the third-order theories in which the in-plane displacements are assumed to be a cubic expression of the thickness coordinate and the out-of-plane displacement to be a quadratic expression at most. A number of single-layer higher-order plate theories that include the effects of transverse shear and normal stresses have been published in the literature (for example, [8][9][10]. General higher-order theories of laminates which take into account the complete effects of transverse shear and normal deformations and rotatory inertia have been investigated recently for the vibration and stability problems of cross-ply and angle-ply laminated composite plates by Matsunaga [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory

Matsunaga

2005

Composite Structures

127

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“…Thermal buckling and nonlinear analyses using the ESL approach and using mechanical properties that are independent of temperature have been considered by a few authors: Ko [1994] treated the buckling problem with various boundary conditions; Kant and S. [2000] used a first-order shear model along with finite element analysis for skew plates; Tessler et al [2001] used a first-order shear deformable (FOSD) model along with a second-order polynomial for the vertical deflection; and Liew et al [2004] used a FOSD model to investigate the effects of temperature dependent properties. Several researchers have used high-order models: these researchers include Najafizadeh and Heydari [2004], who adopted a third-order approach for the analysis of functionally graded material (FGM) circular plates; Kapuria and Achary [2004], who used a zig-zag third-order model for simply-supported panels; Shiau and Kuo [2004], who used a 72-DOF triangular finite element; and Matsunaga [2005], who used truncated power series expansions for representing the distribution of the displacements through the thickness of the panel (limited to simply-supported boundary conditions and buckling only).…”

Section: Introductionmentioning

confidence: 99%

Buckling and nonlinear response of sandwich panels with a compliant core and temperature-dependent mechanical properties

Frostig

Thomsen

2007

JOMMS

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This paper deals with the buckling response and nonlinear behavior of sandwich panels with soft cores that have temperature-dependent mechanical properties and are subjected to thermally induced deformations and mechanical loads simultaneously. This study investigates the effects of the degradation of properties of the core as a result of rising temperature on the response of the sandwich panel. Analyses are carried out for cases of pure thermal loading, with either uniform or gradient temperature fields through the depth of the panel, as well as for thermal loading acting simultaneously with external mechanical loads. The formulation is based on variational principles along with the high-order sandwich panel approach. It takes into account the flexibility of the core in the vertical direction as well as the dependency of the mechanical core properties of the temperature distribution through the core depth. The stress and deformation fields of the core have been solved analytically, including the case where the temperature-dependent properties attain a complex pattern. The buckling equations are derived using the perturbation technique, yielding a set of nonlinear algebraic equations for the case of a simply-supported panel and a uniform temperature field. The critical temperatures and modes of wrinkling and global buckling are determined numerically for some foam types of core made by Rohacell and Divinycell. The nonlinear response caused by thermally induced deformations is presented for Divinycell foam core with different temperature distributions through the depth of the core. Finally, the nonlinear response caused by the simultaneous action of external mechanical loading and increased temperatures on the compressive or the tensile side of the panel, with a thermal gradient through the core depth, is presented. The interaction between elevated temperatures and mechanical loads changes the response from a linear into an unstable nonlinear one when the degradation of the mechanical properties due to temperature changes is considered and the panel is unrestrained. Moreover, the unstable nonlinear behavior becomes even more severe when the face, loaded in compression, is subjected to elevated temperatures. This study reveals that a reliable, realistic design of a sandwich panel that is subjected to elevated temperature (within working temperature range) and mechanical loads must take into account the degradation of the properties of the core as a result of the thermal field even at working temperature range, especially when cores made of foam are considered.

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Thermal buckling analysis of skew fibre-reinforced composite and sandwich plates using shear deformable finite element models

Cited by 112 publications

References 12 publications

Static, Vibration and Buckling Analysis of Skew Composite and Sandwich Plates Under Thermo Mechanical Loading

Static, Vibration and Buckling Analysis of Skew Composite and Sandwich Plates Under Thermo Mechanical Loading

Thermal buckling of cross-ply laminated composite and sandwich plates according to a global higher-order deformation theory

Buckling and nonlinear response of sandwich panels with a compliant core and temperature-dependent mechanical properties

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